diff --git a/app/models/concerns/project_features_compatibility.rb b/app/models/concerns/project_features_compatibility.rb
index f268a842db47b5d5ec13e5749bb75dc245aa1e9f..551a2e56ecf33529028251b98a245376904bf8d8 100644
--- a/app/models/concerns/project_features_compatibility.rb
+++ b/app/models/concerns/project_features_compatibility.rb
@@ -9,32 +9,70 @@ require 'gitlab/utils'
 module ProjectFeaturesCompatibility
   extend ActiveSupport::Concern
 
+  # TODO: remove in API v5, replaced by *_access_level
   def wiki_enabled=(value)
-    write_feature_attribute(:wiki_access_level, value)
+    write_feature_attribute_boolean(:wiki_access_level, value)
   end
 
+  # TODO: remove in API v5, replaced by *_access_level
   def builds_enabled=(value)
-    write_feature_attribute(:builds_access_level, value)
+    write_feature_attribute_boolean(:builds_access_level, value)
   end
 
+  # TODO: remove in API v5, replaced by *_access_level
   def merge_requests_enabled=(value)
-    write_feature_attribute(:merge_requests_access_level, value)
+    write_feature_attribute_boolean(:merge_requests_access_level, value)
   end
 
+  # TODO: remove in API v5, replaced by *_access_level
   def issues_enabled=(value)
-    write_feature_attribute(:issues_access_level, value)
+    write_feature_attribute_boolean(:issues_access_level, value)
   end
 
+  # TODO: remove in API v5, replaced by *_access_level
   def snippets_enabled=(value)
-    write_feature_attribute(:snippets_access_level, value)
+    write_feature_attribute_boolean(:snippets_access_level, value)
+  end
+
+  def repository_access_level=(value)
+    write_feature_attribute_string(:repository_access_level, value)
+  end
+
+  def wiki_access_level=(value)
+    write_feature_attribute_string(:wiki_access_level, value)
+  end
+
+  def builds_access_level=(value)
+    write_feature_attribute_string(:builds_access_level, value)
+  end
+
+  def merge_requests_access_level=(value)
+    write_feature_attribute_string(:merge_requests_access_level, value)
+  end
+
+  def issues_access_level=(value)
+    write_feature_attribute_string(:issues_access_level, value)
+  end
+
+  def snippets_access_level=(value)
+    write_feature_attribute_string(:snippets_access_level, value)
   end
 
   private
 
-  def write_feature_attribute(field, value)
+  def write_feature_attribute_boolean(field, value)
+    access_level = Gitlab::Utils.to_boolean(value) ? ProjectFeature::ENABLED : ProjectFeature::DISABLED
+    write_feature_attribute_raw(field, access_level)
+  end
+
+  def write_feature_attribute_string(field, value)
+    access_level = ProjectFeature.access_level_from_str(value)
+    write_feature_attribute_raw(field, access_level)
+  end
+
+  def write_feature_attribute_raw(field, value)
     build_project_feature unless project_feature
 
-    access_level = Gitlab::Utils.to_boolean(value) ? ProjectFeature::ENABLED : ProjectFeature::DISABLED
-    project_feature.__send__(:write_attribute, field, access_level) # rubocop:disable GitlabSecurity/PublicSend
+    project_feature.__send__(:write_attribute, field, value) # rubocop:disable GitlabSecurity/PublicSend
   end
 end
diff --git a/app/models/project_feature.rb b/app/models/project_feature.rb
index 0542581c6e094678ad8f672f5a5314854b85b8e0..7ff06655de0d95d65828fbc36e10482bfd1cab98 100644
--- a/app/models/project_feature.rb
+++ b/app/models/project_feature.rb
@@ -24,6 +24,12 @@ class ProjectFeature < ApplicationRecord
 
   FEATURES = %i(issues merge_requests wiki snippets builds repository pages).freeze
   PRIVATE_FEATURES_MIN_ACCESS_LEVEL = { merge_requests: Gitlab::Access::REPORTER }.freeze
+  STRING_OPTIONS = HashWithIndifferentAccess.new({
+    'disabled' => DISABLED,
+    'private'  => PRIVATE,
+    'enabled'  => ENABLED,
+    'public'   => PUBLIC
+  }).freeze
 
   class << self
     def access_level_attribute(feature)
@@ -45,6 +51,14 @@ class ProjectFeature < ApplicationRecord
       PRIVATE_FEATURES_MIN_ACCESS_LEVEL.fetch(feature, Gitlab::Access::GUEST)
     end
 
+    def access_level_from_str(level)
+      STRING_OPTIONS.fetch(level)
+    end
+
+    def str_from_access_level(level)
+      STRING_OPTIONS.key(level)
+    end
+
     private
 
     def ensure_feature!(feature)
@@ -83,6 +97,10 @@ class ProjectFeature < ApplicationRecord
     public_send(ProjectFeature.access_level_attribute(feature)) # rubocop:disable GitlabSecurity/PublicSend
   end
 
+  def string_access_level(feature)
+    ProjectFeature.str_from_access_level(access_level(feature))
+  end
+
   def builds_enabled?
     builds_access_level > DISABLED
   end
diff --git a/doc/api/projects.md b/doc/api/projects.md
index b8ccf25581e35612020d296a28300f5f80d3ae6f..702a89c3bba07d8d84b12f3cd3392ce43107b6f2 100644
--- a/doc/api/projects.md
+++ b/doc/api/projects.md
@@ -708,11 +708,17 @@ POST /projects
 | `namespace_id` | integer | no | Namespace for the new project (defaults to the current user's namespace) |
 | `default_branch` | string | no | `master` by default |
 | `description` | string | no | Short project description |
-| `issues_enabled` | boolean | no | Enable issues for this project |
-| `merge_requests_enabled` | boolean | no | Enable merge requests for this project |
-| `jobs_enabled` | boolean | no | Enable jobs for this project |
-| `wiki_enabled` | boolean | no | Enable wiki for this project |
-| `snippets_enabled` | boolean | no | Enable snippets for this project |
+| `issues_enabled` | boolean | no | (deprecated) Enable issues for this project. Use `issues_access_level` instead |
+| `merge_requests_enabled` | boolean | no | (deprecated) Enable merge requests for this project. Use `merge_requests_access_level` instead |
+| `jobs_enabled` | boolean | no | (deprecated) Enable jobs for this project. Use `builds_access_level` instead |
+| `wiki_enabled` | boolean | no | (deprecated) Enable wiki for this project. Use `wiki_access_level` instead |
+| `snippets_enabled` | boolean | no | (deprecated) Enable snippets for this project. Use `snippets_access_level` instead |
+| `issues_access_level` | string | no | One of `disabled`, `private` or `enabled` |
+| `repository_access_level` | string | no | One of `disabled`, `private` or `enabled` |
+| `merge_requests_access_level` | string | no | One of `disabled`, `private` or `enabled` |
+| `builds_access_level` | string | no | One of `disabled`, `private` or `enabled` |
+| `wiki_access_level` | string | no | One of `disabled`, `private` or `enabled` |
+| `snippets_access_level` | string | no | One of `disabled`, `private` or `enabled` |
 | `resolve_outdated_diff_discussions` | boolean | no | Automatically resolve merge request diffs discussions on lines changed with a push |
 | `container_registry_enabled` | boolean | no | Enable container registry for this project |
 | `shared_runners_enabled` | boolean | no | Enable shared runners for this project |
@@ -753,11 +759,17 @@ POST /projects/user/:user_id
 | `path` | string | no | Custom repository name for new project. By default generated based on name |
 | `namespace_id` | integer | no | Namespace for the new project (defaults to the current user's namespace) |
 | `description` | string | no | Short project description |
-| `issues_enabled` | boolean | no | Enable issues for this project |
-| `merge_requests_enabled` | boolean | no | Enable merge requests for this project |
-| `jobs_enabled` | boolean | no | Enable jobs for this project |
-| `wiki_enabled` | boolean | no | Enable wiki for this project |
-| `snippets_enabled` | boolean | no | Enable snippets for this project |
+| `issues_enabled` | boolean | no | (deprecated) Enable issues for this project. Use `issues_access_level` instead |
+| `merge_requests_enabled` | boolean | no | (deprecated) Enable merge requests for this project. Use `merge_requests_access_level` instead |
+| `jobs_enabled` | boolean | no | (deprecated) Enable jobs for this project. Use `builds_access_level` instead |
+| `wiki_enabled` | boolean | no | (deprecated) Enable wiki for this project. Use `wiki_access_level` instead |
+| `snippets_enabled` | boolean | no | (deprecated) Enable snippets for this project. Use `snippets_access_level` instead |
+| `issues_access_level` | string | no | One of `disabled`, `private` or `enabled` |
+| `repository_access_level` | string | no | One of `disabled`, `private` or `enabled` |
+| `merge_requests_access_level` | string | no | One of `disabled`, `private` or `enabled` |
+| `builds_access_level` | string | no | One of `disabled`, `private` or `enabled` |
+| `wiki_access_level` | string | no | One of `disabled`, `private` or `enabled` |
+| `snippets_access_level` | string | no | One of `disabled`, `private` or `enabled` |
 | `resolve_outdated_diff_discussions` | boolean | no | Automatically resolve merge request diffs discussions on lines changed with a push |
 | `container_registry_enabled` | boolean | no | Enable container registry for this project |
 | `shared_runners_enabled` | boolean | no | Enable shared runners for this project |
@@ -798,11 +810,17 @@ PUT /projects/:id
 | `path` | string | no | Custom repository name for the project. By default generated based on name |
 | `default_branch` | string | no | `master` by default |
 | `description` | string | no | Short project description |
-| `issues_enabled` | boolean | no | Enable issues for this project |
-| `merge_requests_enabled` | boolean | no | Enable merge requests for this project |
-| `jobs_enabled` | boolean | no | Enable jobs for this project |
-| `wiki_enabled` | boolean | no | Enable wiki for this project |
-| `snippets_enabled` | boolean | no | Enable snippets for this project |
+| `issues_enabled` | boolean | no | (deprecated) Enable issues for this project. Use `issues_access_level` instead |
+| `merge_requests_enabled` | boolean | no | (deprecated) Enable merge requests for this project. Use `merge_requests_access_level` instead |
+| `jobs_enabled` | boolean | no | (deprecated) Enable jobs for this project. Use `builds_access_level` instead |
+| `wiki_enabled` | boolean | no | (deprecated) Enable wiki for this project. Use `wiki_access_level` instead |
+| `snippets_enabled` | boolean | no | (deprecated) Enable snippets for this project. Use `snippets_access_level` instead |
+| `issues_access_level` | string | no | One of `disabled`, `private` or `enabled` |
+| `repository_access_level` | string | no | One of `disabled`, `private` or `enabled` |
+| `merge_requests_access_level` | string | no | One of `disabled`, `private` or `enabled` |
+| `builds_access_level` | string | no | One of `disabled`, `private` or `enabled` |
+| `wiki_access_level` | string | no | One of `disabled`, `private` or `enabled` |
+| `snippets_access_level` | string | no | One of `disabled`, `private` or `enabled` |
 | `resolve_outdated_diff_discussions` | boolean | no | Automatically resolve merge request diffs discussions on lines changed with a push |
 | `container_registry_enabled` | boolean | no | Enable container registry for this project |
 | `shared_runners_enabled` | boolean | no | Enable shared runners for this project |
diff --git a/lib/api/entities.rb b/lib/api/entities.rb
index b9aa387ba61a57e441ca308c1c13ac6884f7d189..4bd4442a76e75fe17249d361c97547a55bf8ca16 100644
--- a/lib/api/entities.rb
+++ b/lib/api/entities.rb
@@ -247,12 +247,20 @@ module API
       expose :container_registry_enabled
 
       # Expose old field names with the new permissions methods to keep API compatible
+      # TODO: remove in API v5, replaced by *_access_level
       expose(:issues_enabled) { |project, options| project.feature_available?(:issues, options[:current_user]) }
       expose(:merge_requests_enabled) { |project, options| project.feature_available?(:merge_requests, options[:current_user]) }
       expose(:wiki_enabled) { |project, options| project.feature_available?(:wiki, options[:current_user]) }
       expose(:jobs_enabled) { |project, options| project.feature_available?(:builds, options[:current_user]) }
       expose(:snippets_enabled) { |project, options| project.feature_available?(:snippets, options[:current_user]) }
 
+      expose(:issues_access_level) { |project, options| project.project_feature.string_access_level(:issues) }
+      expose(:repository_access_level) { |project, options| project.project_feature.string_access_level(:repository) }
+      expose(:merge_requests_access_level) { |project, options| project.project_feature.string_access_level(:merge_requests) }
+      expose(:wiki_access_level) { |project, options| project.project_feature.string_access_level(:wiki) }
+      expose(:builds_access_level) { |project, options| project.project_feature.string_access_level(:builds) }
+      expose(:snippets_access_level) { |project, options| project.project_feature.string_access_level(:snippets) }
+
       expose :shared_runners_enabled
       expose :lfs_enabled?, as: :lfs_enabled
       expose :creator_id
diff --git a/lib/api/helpers/projects_helpers.rb b/lib/api/helpers/projects_helpers.rb
index f242f1fea0e79a792d0975c55e2c927d31b70cca..36d93d9457fae4b5d6000144f5902dee3a6cf87a 100644
--- a/lib/api/helpers/projects_helpers.rb
+++ b/lib/api/helpers/projects_helpers.rb
@@ -9,11 +9,21 @@ module API
       params :optional_project_params_ce do
         optional :description, type: String, desc: 'The description of the project'
         optional :ci_config_path, type: String, desc: 'The path to CI config file. Defaults to `.gitlab-ci.yml`'
+
+        # TODO: remove in API v5, replaced by *_access_level
         optional :issues_enabled, type: Boolean, desc: 'Flag indication if the issue tracker is enabled'
         optional :merge_requests_enabled, type: Boolean, desc: 'Flag indication if merge requests are enabled'
         optional :wiki_enabled, type: Boolean, desc: 'Flag indication if the wiki is enabled'
         optional :jobs_enabled, type: Boolean, desc: 'Flag indication if jobs are enabled'
         optional :snippets_enabled, type: Boolean, desc: 'Flag indication if snippets are enabled'
+
+        optional :issues_access_level, type: String, values: %w(disabled private enabled), desc: 'Issues access level. One of `disabled`, `private` or `enabled`'
+        optional :repository_access_level, type: String, values: %w(disabled private enabled), desc: 'Repository access level. One of `disabled`, `private` or `enabled`'
+        optional :merge_requests_access_level, type: String, values: %w(disabled private enabled), desc: 'Merge requests access level. One of `disabled`, `private` or `enabled`'
+        optional :wiki_access_level, type: String, values: %w(disabled private enabled), desc: 'Wiki access level. One of `disabled`, `private` or `enabled`'
+        optional :builds_access_level, type: String, values: %w(disabled private enabled), desc: 'Builds access level. One of `disabled`, `private` or `enabled`'
+        optional :snippets_access_level, type: String, values: %w(disabled private enabled), desc: 'Snippets access level. One of `disabled`, `private` or `enabled`'
+
         optional :shared_runners_enabled, type: Boolean, desc: 'Flag indication if shared runners are enabled for that project'
         optional :resolve_outdated_diff_discussions, type: Boolean, desc: 'Automatically resolve merge request diffs discussions on lines changed with a push'
         optional :container_registry_enabled, type: Boolean, desc: 'Flag indication if the container registry is enabled for that project'
@@ -48,15 +58,14 @@ module API
 
       def self.update_params_at_least_one_of
         [
-          :jobs_enabled,
-          :resolve_outdated_diff_discussions,
+          :builds_access_level,
           :ci_config_path,
           :container_registry_enabled,
           :default_branch,
           :description,
-          :issues_enabled,
+          :issues_access_level,
           :lfs_enabled,
-          :merge_requests_enabled,
+          :merge_requests_access_level,
           :merge_method,
           :name,
           :only_allow_merge_if_all_discussions_are_resolved,
@@ -64,14 +73,24 @@ module API
           :path,
           :printing_merge_request_link_enabled,
           :public_builds,
+          :repository_access_level,
           :request_access_enabled,
+          :resolve_outdated_diff_discussions,
           :shared_runners_enabled,
-          :snippets_enabled,
+          :snippets_access_level,
           :tag_list,
           :visibility,
-          :wiki_enabled,
+          :wiki_access_level,
           :avatar,
-          :external_authorization_classification_label
+          :external_authorization_classification_label,
+
+          # TODO: remove in API v5, replaced by *_access_level
+          :issues_enabled,
+          :jobs_enabled,
+          :merge_requests_enabled,
+          :wiki_enabled,
+          :jobs_enabled,
+          :snippets_enabled
         ]
       end
     end
diff --git a/spec/models/concerns/project_features_compatibility_spec.rb b/spec/models/concerns/project_features_compatibility_spec.rb
index 5aa43b58217c77a0157b88251a38eb7356871ce6..1fe176ab5afe02d85f94c6ffaa7271ad070141c4 100644
--- a/spec/models/concerns/project_features_compatibility_spec.rb
+++ b/spec/models/concerns/project_features_compatibility_spec.rb
@@ -4,7 +4,8 @@ require 'spec_helper'
 
 describe ProjectFeaturesCompatibility do
   let(:project) { create(:project) }
-  let(:features) { %w(issues wiki builds merge_requests snippets) }
+  let(:features_except_repository) { %w(issues wiki builds merge_requests snippets) }
+  let(:features) { features_except_repository + ['repository'] }
 
   # We had issues_enabled, snippets_enabled, builds_enabled, merge_requests_enabled and issues_enabled fields on projects table
   # All those fields got moved to a new table called project_feature and are now integers instead of booleans
@@ -12,30 +13,37 @@ describe ProjectFeaturesCompatibility do
   # So we can keep it compatible
 
   it "converts fields from 'true' to ProjectFeature::ENABLED" do
-    features.each do |feature|
+    features_except_repository.each do |feature|
       project.update_attribute("#{feature}_enabled".to_sym, "true")
       expect(project.project_feature.public_send("#{feature}_access_level")).to eq(ProjectFeature::ENABLED)
     end
   end
 
   it "converts fields from 'false' to ProjectFeature::DISABLED" do
-    features.each do |feature|
+    features_except_repository.each do |feature|
       project.update_attribute("#{feature}_enabled".to_sym, "false")
       expect(project.project_feature.public_send("#{feature}_access_level")).to eq(ProjectFeature::DISABLED)
     end
   end
 
   it "converts fields from true to ProjectFeature::ENABLED" do
-    features.each do |feature|
+    features_except_repository.each do |feature|
       project.update_attribute("#{feature}_enabled".to_sym, true)
       expect(project.project_feature.public_send("#{feature}_access_level")).to eq(ProjectFeature::ENABLED)
     end
   end
 
   it "converts fields from false to ProjectFeature::DISABLED" do
-    features.each do |feature|
+    features_except_repository.each do |feature|
       project.update_attribute("#{feature}_enabled".to_sym, false)
       expect(project.project_feature.public_send("#{feature}_access_level")).to eq(ProjectFeature::DISABLED)
     end
   end
+
+  it "accepts private as ProjectFeature::PRIVATE" do
+    features.each do |feature|
+      project.update!("#{feature}_access_level".to_sym => 'private')
+      expect(project.project_feature.public_send("#{feature}_access_level")).to eq(ProjectFeature::PRIVATE)
+    end
+  end
 end
diff --git a/spec/requests/api/projects_spec.rb b/spec/requests/api/projects_spec.rb
index 5f7d2fa6d9c717f0d9ba007fbcc7c307c25e17ca..978e5fffc73dac7d40a643d117ca91261ad4f179 100644
--- a/spec/requests/api/projects_spec.rb
+++ b/spec/requests/api/projects_spec.rb
@@ -1102,6 +1102,12 @@ describe API::Projects do
         expect(json_response['wiki_enabled']).to be_present
         expect(json_response['jobs_enabled']).to be_present
         expect(json_response['snippets_enabled']).to be_present
+        expect(json_response['snippets_access_level']).to be_present
+        expect(json_response['repository_access_level']).to be_present
+        expect(json_response['issues_access_level']).to be_present
+        expect(json_response['merge_requests_access_level']).to be_present
+        expect(json_response['wiki_access_level']).to be_present
+        expect(json_response['builds_access_level']).to be_present
         expect(json_response['resolve_outdated_diff_discussions']).to eq(project.resolve_outdated_diff_discussions)
         expect(json_response['container_registry_enabled']).to be_present
         expect(json_response['created_at']).to be_present
@@ -1913,6 +1919,16 @@ describe API::Projects do
         end
       end
 
+      it 'updates builds_access_level' do
+        project_param = { builds_access_level: 'private' }
+
+        put api("/projects/#{project3.id}", user), params: project_param
+
+        expect(response).to have_gitlab_http_status(200)
+
+        expect(json_response['builds_access_level']).to eq('private')
+      end
+
       it 'updates merge_method' do
         project_param = { merge_method: 'ff' }